A more thorough investigation of this proposal is aided by working in a language in which the underlying two dimensions are rendered manifest. 2D conformal (4D Lorentz) symmetry is the basis of this two-dimensional description, so these two dimensions are more readily apparent in the scattering of particles of definite boost weight, as opposed to the standard momentum eigenstates. More precisely, one can construct boost-eigenstate scattering amplitudes that transform under Lorentz transformations like correlation functions of primary operators under global conformal transformations [1]}, [2]}, [3]}. These amplitudes are referred to as celestial amplitudes.
